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Fillmore, P. A.; Herrero, Domingo A.; Longstaff, W. E.

The hyperinvariant subspace lattice of a linear transformation. (English) Zbl 0359.47005

Linear Algebra Appl. 17, 125-132 (1977).
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Cited in 1 Review
Cited in 28 Documents

MSC:

47A15 Invariant subspaces of linear operators
15A21 Canonical forms, reductions, classification
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\textit{P. A. Fillmore} et al., Linear Algebra Appl. 17, 125--132 (1977; Zbl 0359.47005)
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References:

[1] T. Andô and T. Sekiguchi, Hyperinvariant subspaces of a nilpotent operator, unpublished.
[2] Brickman, L.; Fillmore, P.A., The invariant subspace lattice of a linear transformation, Can. J. math., 19, 810-822, (1967), MR 35, 4242. · Zbl 0153.04801
[3] John B. Conway and Pei Yuan Wu, the Splitting of A (T1 ⊕ T2) and related questions, preprint. · Zbl 0327.46075
[4] Donnellan, T., Lattice theory, (1968), Pergamon Oxford
[5] Douglas, R.G.; Pearcy, Carl, On a topology for invariant subspaces, J. funct. anal., 2, 323-341, (1968), MR{\bf38}, 1547. · Zbl 0174.17903
[6] Douglas, R.G.; Pearcy, Carl; Salinas, Norberto, Hyperinvariant subspaces via topological properties of lattices, Mich. math. J., 20, 109-113, (1973) · Zbl 0268.47009
[7] Halmos, P.R., Eigenvectors and adjoints, Linear algebra appl., 4, 11-15, (1971) · Zbl 0264.15001
[8] Herrero, Domingo A.; Salinas, Norberto, Analytically invariant and bi-invariant subspaces, Trans. amer. math. soc., 173, 117-136, (1972) · Zbl 0253.46126
[9] Hoffman, K.; Kunze, R., Linear algebra, (1971), Prentice-Hall Englewood Cliffs, N.J · Zbl 0212.36601
[10] W.E. Longstaff, A sufficient condition for hyperinvariance, preprint. · Zbl 0371.47008
[11] Radjavi, Heydar; Rosenthal, P., Invariant subspaces, (1973), Springer New York · Zbl 0269.47003
[12] Rosenthal, P., A note on unicellular operators, Proc. am. math. soc., 19, 505-506, (1968), MR{\bf36}, 5753. · Zbl 0161.34503
[13] Stampfli, J.G., On hyponormal and Toeplitz operators, Math. ann., 183, 328-336, (1969), MR 40, 4798. · Zbl 0175.43104
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